Barry M. Simon - Publications

Affiliations: 
Princeton University, Princeton, NJ 
 1980- Physics California Institute of Technology, Pasadena, CA 
Website:
https://www.pma.caltech.edu/content/barry-m-simon

183 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Avni N, Breuer J, Simon B. Periodic Jacobi matrices on trees Advances in Mathematics. 370: 107241. DOI: 10.1016/J.Aim.2020.107241  0.341
2019 Christiansen JS, Simon B, Yuditskii P, Zinchenko M. Asymptotics of Chebyshev polynomials, II: DCT subsets of ${\mathbb{R}}$ Duke Mathematical Journal. 168: 325-349. DOI: 10.1215/00127094-2018-0045  0.343
2019 Martínez–Finkelshtein A, Simanek B, Simon B. Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators Advances in Mathematics. 349: 992-1035. DOI: 10.1016/J.Aim.2019.04.027  0.733
2018 Breuer J, Simon B, Zeitouni O. Large deviations and the Lukic conjecture Duke Mathematical Journal. 167: 2857-2902. DOI: 10.1215/00127094-2018-0027  0.326
2016 Christiansen JS, Simon B, Zinchenko M. Asymptotics of Chebyshev polynomials, I: subsets of R Inventiones Mathematicae. 1-29. DOI: 10.1007/S00222-016-0689-X  0.307
2015 Krüger H, Simon B. Cantor polynomials and some related classes of OPRL Journal of Approximation Theory. 191: 71-93. DOI: 10.1016/J.Jat.2014.04.003  0.349
2014 Breuer J, Last Y, Simon B. Stability of Asymptotics of Christoffel-Darboux Kernels Communications in Mathematical Physics. 330: 1155-1178. DOI: 10.1007/S00220-014-1913-4  0.302
2012 Christiansen JS, Simon B, Zinchenko M. Finite Gap Jacobi Matrices, III. Beyond the Szego{double acute} Class Constructive Approximation. 35: 259-272. DOI: 10.1007/S00365-012-9152-4  0.33
2011 Frank RL, Simon B. Critical Lieb-Thirring bounds in gaps and the generalized Nevai conjecture for finite gap Jacobi matrices Duke Mathematical Journal. 157: 461-493. DOI: 10.1215/00127094-1272912  0.359
2011 Breuer J, Simon B. Natural boundaries and spectral theory Advances in Mathematics. 226: 4902-4920. DOI: 10.1016/J.Aim.2010.12.019  0.305
2011 Christiansen JS, Simon B, Zinchenko M. Finite Gap Jacobi Matrices, II. The Szego{double acute} Class Constructive Approximation. 33: 365-403. DOI: 10.1007/S00365-010-9094-7  0.334
2010 Damanik D, Killip R, Simon B. Perturbations of orthogonal polynomials with periodic recursion coefficients Annals of Mathematics. 171: 1931-2010. DOI: 10.4007/Annals.2010.171.1931  0.334
2010 Avila A, Simon B. Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum Analysis & Pde. 3: 81-108. DOI: 10.2140/Apde.2010.3.81  0.342
2010 Christiansen JS, Simon B, Zinchenko M. Finite gap Jacobi matrices, I. The isospectral torus Constructive Approximation. 32: 1-65. DOI: 10.1007/S00365-009-9057-Z  0.327
2010 Breuer J, Simon B. The Nevai Condition Constructive Approximation. 32: 221-254. DOI: 10.1007/S00365-009-9055-1  0.308
2010 Breuer J, Ryckman E, Simon B. Equality of the Spectral and Dynamical Definitions of Reflection Communications in Mathematical Physics. 295: 531-550. DOI: 10.1007/S00220-009-0945-7  0.317
2009 Killip R, Simon B. Sum rules and spectral measures of Schrödinger operators with L^2 potentials Annals of Mathematics. 170: 739-782. DOI: 10.4007/Annals.2009.170.739  0.302
2009 Simon B. Regularity and the Cesàro–Nevai class Journal of Approximation Theory. 156: 142-153. DOI: 10.1016/J.Jat.2008.04.016  0.314
2009 Christiansen JS, Simon B, Zinchenko M. Finite gap Jacobi matrices: An announcement Journal of Computational and Applied Mathematics. 233: 652-662. DOI: 10.1016/J.Cam.2009.02.081  0.309
2008 Hundertmark D, Simon B. Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices Journal of Mathematical Analysis and Applications. 340: 892-900. DOI: 10.1016/J.Jmaa.2007.08.059  0.336
2008 Simon B. Two extensions of Lubinsky’s universality theorem Journal D Analyse Mathematique. 105: 345-362. DOI: 10.1007/S11854-008-0039-Z  0.341
2008 Frank RL, Simon B, Weidl T. Eigenvalue bounds for perturbations of schrödinger operators and jacobi matrices with regular ground states Communications in Mathematical Physics. 282: 199-208. DOI: 10.1007/S00220-008-0453-1  0.377
2008 Simon B. Fine structure of the zeros of orthogonal polynomials IV: A priori bounds and clock behavior† Communications On Pure and Applied Mathematics. 61: 486-538. DOI: 10.1002/Cpa.20185  0.365
2007 Simon B. Equilibrium Measures And Capacities In Spectral Theory Inverse Problems and Imaging. 1: 713-772. DOI: 10.3934/Ipi.2007.1.713  0.326
2007 Simon B. Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle Journal of Mathematical Analysis and Applications. 329: 376-382. DOI: 10.1016/J.Jmaa.2006.06.076  0.391
2006 Davies EB, Simon B. Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle Journal of Approximation Theory. 141: 189-213. DOI: 10.1016/J.Jat.2006.03.006  0.33
2006 Damanik D, Simon B. Jost functions and Jost solutions for Jacobi matrices, I. A necessary and sufficient condition for Szego asymptotics Inventiones Mathematicae. 165: 1-50. DOI: 10.1007/S00222-005-0485-5  0.333
2006 Simon B. The Essential Spectrum of Schrödinger, Jacobi, and CMV Operators Journal D Analyse Mathematique. 98: 183-220. DOI: 10.1007/Bf02790275  0.359
2006 Simon B. Fine Structure Of The Zeros Of Orthogonal Polynomials, Iii. Periodic Recursion Coefficients Communications On Pure and Applied Mathematics. 59: 1042-1062. DOI: 10.1002/Cpa.20106  0.352
2005 Simon B. On a theorem of Kac and Gilbert Journal of Functional Analysis. 223: 109-115. DOI: 10.1016/J.Jfa.2004.08.015  0.352
2005 Simon B. Fine structure of the zeros of orthogonal polynomials, II. OPUC with competing exponential decay Journal of Approximation Theory. 135: 125-139. DOI: 10.1016/J.Jat.2005.04.003  0.321
2005 Simon B, Zlatoš A. Higher-order Szegő theorems with two singular points Journal of Approximation Theory. 134: 114-129. DOI: 10.1016/J.Jat.2005.02.003  0.687
2005 Damanik D, Killip R, Simon B. Schrödinger operators with few bound states Communications in Mathematical Physics. 258: 741-750. DOI: 10.1007/S00220-005-1366-X  0.35
2005 Simon B, Totik V. Limits of zeros of orthogonal polynomials on the circle Mathematische Nachrichten. 278: 1615-1620. DOI: 10.1002/Mana.200410326  0.31
2004 Hundertmark D, Simon B. A diamagnetic inequality for semigroup differences Crelle's Journal. 2004: 107-130. DOI: 10.1515/Crll.2004.036  0.308
2004 Simon B. Orthogonal polynomials on the unit circle: New results International Mathematics Research Notices. 2004: 2837-2880. DOI: 10.1155/S1073792804141664  0.359
2004 Damanik D, Killip R, Simon B. Necessary and sufficient conditions in the spectral theory of Jacobi matrices and Schrödinger operators International Mathematics Research Notices. 2004: 1087-1097. DOI: 10.1155/S1073792804132790  0.364
2004 Gesztesy F, Simon B. Connectedness of the Isospectral Manifold for One-Dimensional Half-Line Schrödinger Operators Journal of Statistical Physics. 116: 361-365. DOI: 10.1023/B:Joss.0000037217.89500.B3  0.323
2004 Simon B. A canonical factorization for meromorphic Herglotz functions on the unit disk and sum rules for Jacobi matrices Journal of Functional Analysis. 214: 396-409. DOI: 10.1016/J.Jfa.2003.11.006  0.325
2004 Simon B. Ratio asymptotics and weak asymptotic measures for orthogonal polynomials on the real line Journal of Approximation Theory. 126: 198-217. DOI: 10.1016/J.Jat.2003.12.002  0.36
2003 Killip R, Simon B. Sum rules for Jacobi matrices and their applications to spectral theory Annals of Mathematics. 158: 253-321. DOI: 10.4007/Annals.2003.158.253  0.352
2003 Simon B. The Golinskii-Ibragimov method and a theorem of Damanik and Killip International Mathematics Research Notices. 2003: 1973-1986. DOI: 10.1155/S107379280313084X  0.324
2003 Kiselev A, Simon B. Stability of singular spectral types under decaying perturbations Journal of Functional Analysis. 198: 1-27. DOI: 10.1016/S0022-1236(02)00053-8  0.357
2003 Denisov SA, Simon B. Zeros of orthogonal polynomials on the real line Journal of Approximation Theory. 121: 357-364. DOI: 10.1016/S0021-9045(03)00038-8  0.31
2003 Simon B, Zlatoš A. Sum Rules and the Szegő Condition for Orthogonal Polynomials on the Real Line Communications in Mathematical Physics. 242: 393-423. DOI: 10.1007/S00220-003-0906-5  0.678
2002 Hundertmark D, Simon B. Lieb-Thirring Inequalities for Jacobi Matrices Journal of Approximation Theory. 118: 106-130. DOI: 10.1006/Jath.2002.3704  0.307
2000 Gesztesy F, Simon B. A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure Annals of Mathematics. 152: 593-643. DOI: 10.2307/2661393  0.344
2000 Gesztesy F, Simon B. On Local Borg-Marchenko Uniqueness Results Communications in Mathematical Physics. 211: 273-287. DOI: 10.1007/S002200050812  0.3
1999 Gesztesy F, Simon B. Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum Transactions of the American Mathematical Society. 352: 2765-2787. DOI: 10.1090/S0002-9947-99-02544-1  0.328
1999 Kiselev A, Remling C, Simon B. Effective Perturbation Methods for One-Dimensional Schrödinger Operators Journal of Differential Equations. 151: 290-312. DOI: 10.1006/Jdeq.1998.3514  0.301
1998 Kiselev A, Simon B. Modified Prüfer and EFGP Transforms and the Spectral Analysis of One-Dimensional Schrödinger Operators Communications in Mathematical Physics. 194: 1-45. DOI: 10.1007/S002200050346  0.352
1998 Simon B. Modified Prüfer and EFGP Transforms and Deterministic Models with Dense Point Spectrum Journal of Functional Analysis. 154: 513-530. DOI: 10.1006/Jfan.1997.3192  0.349
1998 Simon B. The Classical Moment Problem as a Self-Adjoint Finite Difference Operator Advances in Mathematics. 137: 82-203. DOI: 10.1006/Aima.1998.1728  0.338
1997 Gesztesy F, Simon B. m-Functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices Journal D Analyse Mathematique. 73: 267-297. DOI: 10.1007/Bf02788147  0.368
1996 Gesztesy F, Simon B, Teschl G. Zeros of the Wronskian and renormalized oscillation theory American Journal of Mathematics. 118: 571-594. DOI: 10.1353/Ajm.1996.0024  0.341
1996 Gesztesy F, Simon B. Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators Transactions of the American Mathematical Society. 348: 349-373. DOI: 10.1090/S0002-9947-96-01525-5  0.369
1996 Gesztesy F, Simon B, Teschl G. Spectral Deformations Of One-Dimensional Schrodinger Operators Journal D Analyse Mathematique. 70: 267-324. DOI: 10.1007/Bf02820446  0.338
1996 Rio Rd, Jitomirskaya S, Simon B. Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization Journal D Analyse Mathematique. 69: 153-200. DOI: 10.1007/Bf02787106  0.345
1996 Gesztesy F, Simon B. The xi function Acta Mathematica. 176: 49-71. DOI: 10.1007/Bf02547335  0.375
1996 Simon B. Operators with singular continuous spectrum. VII. Examples with borderline time decay Communications in Mathematical Physics. 176: 713-722. DOI: 10.1007/Bf02099257  0.341
1996 Gesztesy F, Holden H, Simon B, Zhao Z. A Trace Formula for Multidimensional Schrödinger Operators Journal of Functional Analysis. 141: 449-465. DOI: 10.1006/Jfan.1996.0137  0.37
1996 Simon B, Zhu Y. The Lyapunov Exponents for Schrödinger Operators with Slowly Oscillating Potentials Journal of Functional Analysis. 140: 541-556. DOI: 10.1006/Jfan.1996.0117  0.387
1995 Simon B. Operators with Singular Continuous Spectrum: I. General Operators Annals of Mathematics. 141: 131-145. DOI: 10.2307/2118629  0.337
1995 Gesztesy F, Holden H, Simon B, Zhao Z. Higher Order Trace Relations For Schrödinger Operators Reviews in Mathematical Physics. 7: 893-922. DOI: 10.1142/S0129055X95000347  0.357
1995 Gesztesy F, Holden H, Simon B. Absolute summability of the trace relation for certain Schrödinger operators Communications in Mathematical Physics. 168: 137-161. DOI: 10.1007/Bf02099586  0.344
1995 Hof A, Knill O, Simon B. Singular continuous spectrum for palindromic Schrödinger operators Communications in Mathematical Physics. 174: 149-159. DOI: 10.1007/Bf02099468  0.373
1995 Kiselev A, Simon B. Rank One Perturbations with Infinitesimal Coupling Journal of Functional Analysis. 130: 345-356. DOI: 10.1006/Jfan.1995.1074  0.317
1995 Gesztesy F, Simon B. Rank One Perturbations at Infinite Coupling Journal of Functional Analysis. 128: 245-252. DOI: 10.1006/Jfan.1995.1030  0.305
1994 Rio Rd, Simon B, Stolz G. Stability of Spectral Types for Sturm-Liouville Operators Mathematical Research Letters. 1: 437-450. DOI: 10.4310/Mrl.1994.V1.N4.A4  0.35
1994 del Rio R, Jitomirskaya S, Makarov N, Simon B. Singular continuous spectrum is generic Bulletin of the American Mathematical Society. 31: 208-212. DOI: 10.1090/S0273-0979-1994-00518-X  0.351
1994 Jitomirskaya S, Simon B. Operators with singular continuous spectrum: III. Almost periodic Schrödinger operators Communications in Mathematical Physics. 165: 201-205. DOI: 10.1007/Bf02099743  0.351
1994 Rio RD, Makarov N, Simon B. Operators with singular continuous spectrum. II. Rank one operators Communications in Mathematical Physics. 165: 59-67. DOI: 10.1007/Bf02099737  0.317
1993 Gesztesy F, Holden H, Simon B, Zhao ZX. Trace formulae and inverse spectral theory for Schrödinger operators Bulletin of the American Mathematical Society. 29: 250-255. DOI: 10.1090/S0273-0979-1993-00431-2  0.338
1993 Gesztesy F, Simon B. A short proof of Zheludev's theorem Transactions of the American Mathematical Society. 335: 329-340. DOI: 10.1090/S0002-9947-1993-1096260-8  0.374
1993 Gordon YA, Jakšić V, Molčanov S, Simon B. Spectral properties of random Schrödinger operators with unbounded potentials Communications in Mathematical Physics. 157: 23-50. DOI: 10.1007/Bf02098017  0.328
1993 Graf GM, Simon B. Asymptotic Series for the Ground State Energy of Schrödinger Operators Journal of Functional Analysis. 112: 442-446. DOI: 10.1006/Jfan.1993.1039  0.332
1992 Simon B. Best constants in some operator smoothness estimates Journal of Functional Analysis. 107: 66-71. DOI: 10.1016/0022-1236(92)90100-W  0.316
1992 Jakšić V, Molčanov S, Simon B. Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps Journal of Functional Analysis. 106: 59-79. DOI: 10.1016/0022-1236(92)90063-O  0.377
1992 Gesztesy F, Graf GM, Simon B. The ground state energy of Schrödinger operators Communications in Mathematical Physics. 150: 375-384. DOI: 10.1007/Bf02096665  0.318
1991 Simon B. Fifty years of eigenvalue perturbation theory Bulletin of the American Mathematical Society. 24: 303-319. DOI: 10.1090/S0273-0979-1991-16020-9  0.316
1991 Davies EB, Simon B. Lp norms of non-critical Schrödinger semigroups Journal of Functional Analysis. 102: 95-115. DOI: 10.1016/0022-1236(91)90137-T  0.302
1990 Benassi L, Grecchi V, Harrell E, Simon B. Bender-Wu Formula and the Stark Effect in Hydrogen Current Physics–Sources and Comments. 7: 290-293. DOI: 10.1016/B978-0-444-88597-5.50040-5  0.307
1990 Herbst IW, Simon B. Physical Review Letters: Stark Effect Revisited Current Physics–Sources and Comments. 7: 287-289. DOI: 10.1016/B978-0-444-88597-5.50039-9  0.312
1990 Carmona R, Masters WC, Simon B. Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions Journal of Functional Analysis. 91: 117-142. DOI: 10.1016/0022-1236(90)90049-Q  0.341
1990 Simon B. Absence of ballistic motion Communications in Mathematical Physics. 134: 209-212. DOI: 10.1007/Bf02102095  0.33
1990 Avron JE, Howland JS, Simon B. Adiabatic theorems for dense point spectra Communications in Mathematical Physics. 128: 497-507. DOI: 10.1007/Bf02096869  0.337
1989 Simon B, Spencer T. Trace class perturbations and the absence of absolutely continuous spectra Communications in Mathematical Physics. 125: 113-125. DOI: 10.1007/Bf01217772  0.329
1988 Avron JE, Sadun L, Segert J, Simon B. Topological Invariants in Fermi Systems with Time-Reversal Invariance Physical Review Letters. 61: 1329-1332. PMID 10038766 DOI: 10.1103/Physrevlett.61.1329  0.3
1988 Davies EB, Simon B, Taylor M. Lp spectral theory of Kleinian groups Journal of Functional Analysis. 78: 116-136. DOI: 10.1016/0022-1236(88)90135-8  0.335
1988 Gesztesy F, Simon B. Topological invariance of the Witten index Journal of Functional Analysis. 79: 91-102. DOI: 10.1016/0022-1236(88)90031-6  0.322
1988 Kirsch W, Simon B. Corrections to the classical behavior of the number of bound states of Schrödinger operators Annals of Physics. 183: 122-130. DOI: 10.1016/0003-4916(88)90248-5  0.303
1988 Gesztesy F, Simon B. On a theorem of Deift and Hempel Communications in Mathematical Physics. 116: 503-505. DOI: 10.1007/Bf01229205  0.327
1988 Gesztesy F, Gurarie D, Holden H, Klaus M, Sadun L, Simon B, Vogl P. Trapping and cascading of eigenvalues in the large coupling limit Communications in Mathematical Physics. 118: 597-634. DOI: 10.1007/Bf01221111  0.363
1988 Kotani S, Simon B. Stochastic Schrödinger operators and Jacobi matrices on the strip Communications in Mathematical Physics. 119: 403-429. DOI: 10.1007/Bf01218080  0.325
1987 Bollé D, Gesztesy F, Grosse H, Schweiger W, Simon B. Witten index, axial anomaly, and Krein's spectral shift function in supersymmetric quantum mechanics Journal of Mathematical Physics. 28: 1512-1525. DOI: 10.1063/1.527508  0.301
1987 Kotani S, Simon B. Localization in general one-dimensional random systems Communications in Mathematical Physics. 112: 103-119. DOI: 10.1007/Bf01217682  0.33
1987 Bollé D, Gesztesy F, Grosse H, Simon B. Krein's spectral shift function and fredholm determinants as efficient methods to study supersymmetric quantum mechanics Letters in Mathematical Physics. 13: 127-133. DOI: 10.1007/Bf00955200  0.305
1986 Davies EB, Simon B. Ultracontractive Semigroups and Some Problems in Analysis North-Holland Mathematical Library. 34: 265-280. DOI: 10.1016/S0924-6509(09)70260-0  0.329
1986 Davies EB, Simon B. L1-properties of intrinsic Schrödinger semigroups Journal of Functional Analysis. 65: 126-146. DOI: 10.1016/0022-1236(86)90019-4  0.306
1986 Kirsch W, Simon B. Lifshitz tails for periodic plus random potentials Journal of Statistical Physics. 42: 799-808. DOI: 10.1007/Bf01010445  0.326
1986 Simon B, Wolff T. Singular continuous spectrum under rank one perturbations and localization for random hamiltonians Communications On Pure and Applied Mathematics. 39: 75-90. DOI: 10.1002/Cpa.3160390105  0.357
1985 Simon B. Almost periodic Schrödinger operators IV. The maryland model Annals of Physics. 159: 157-183. DOI: 10.1016/0003-4916(85)90196-4  0.348
1985 Simon B. Localization in general one dimensional random systems, I. Jacobi matrices Communications in Mathematical Physics. 102: 327-336. DOI: 10.1007/Bf01229383  0.348
1985 Kirsch W, Simon B. Universal lower bounds on eigenvalue splittings for one dimensional Schrödinger operators Communications in Mathematical Physics. 97: 453-460. DOI: 10.1007/Bf01213408  0.338
1985 Simon B, Taylor M. Harmonic analysis on SL(2,R) and smoothness of the density of states in the one-dimensional Anderson model Communications in Mathematical Physics. 101: 1-19. DOI: 10.1007/Bf01212354  0.312
1984 Simon B. Semiclassical analysis of low lying eigenvalues, II. Tunneling* Annals of Mathematics. 120: 89-118. DOI: 10.2307/2007072  0.308
1984 Simon B. m-Functions and the Absolutely Continuous Spectrum of One Dimensional Almost Periodic Schrödinger Operators North-Holland Mathematics Studies. 92: 519. DOI: 10.1016/S0304-0208(08)73737-X  0.357
1984 Davies EB, Simon B. Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians Journal of Functional Analysis. 59: 335-395. DOI: 10.1016/0022-1236(84)90076-4  0.342
1984 Simon B. Semiclassical analysis of low lying elgenvalues. III. Width of the ground state band in strongly coupled solids Annals of Physics. 158: 415-420. DOI: 10.1016/0003-4916(84)90125-8  0.3
1984 Lieb EH, Sigal IM, Simon B, Thirring W. Asymptotic neutrality of large-Z ions Physical Review Letters. 52: 994-996. DOI: 10.1007/978-3-662-03436-1_9  0.309
1983 Avron J, Craig W, Simon B. Large coupling behaviour of the Lyapunov exponent for tight binding one-dimensional random systems Journal of Physics A. 16. DOI: 10.1088/0305-4470/16/7/002  0.333
1983 Simon B. Nonclassical eigenvalue asymptotics Journal of Functional Analysis. 53: 84-98. DOI: 10.1016/0022-1236(83)90047-2  0.34
1983 Simon B. Some quantum operators with discrete spectrum but classically continuous spectrum Annals of Physics. 146: 209-220. DOI: 10.1016/0003-4916(83)90057-X  0.326
1983 Bentosela F, Carmona RA, Duclos P, Simon B, Souillard B, Weder R. Schrödinger operators with an electric field and random or deterministic potentials Communications in Mathematical Physics. 88: 387-397. DOI: 10.1007/Bf01213215  0.375
1983 Simon B. Kotani theory for one dimensional stochastic Jacobi matrices Communications in Mathematical Physics. 89: 227-234. DOI: 10.1007/Bf01211829  0.354
1983 Deift P, Simon B. Almost periodic Schrödinger operators - III. The absolutely continuous spectrum in one dimension Communications in Mathematical Physics. 90: 389-411. DOI: 10.1007/Bf01206889  0.383
1983 Craig W, Simon B. Log hölder continuity of the integrated density of states for stochastic Jacobi matrices Communications in Mathematical Physics. 90: 207-218. DOI: 10.1007/Bf01205503  0.336
1982 Avron J, Simon B. Singular continuous spectrum for a class of almost periodic Jacobi matrices Bulletin of the American Mathematical Society. 6: 81-85. DOI: 10.1090/S0273-0979-1982-14971-0  0.364
1982 Simon B. Almost periodic Schrödinger operators: A Review Advances in Applied Mathematics. 3: 463-490. DOI: 10.1016/S0196-8858(82)80018-3  0.37
1982 Simon B, Yaffe L. Rigorous perimeter law upper bound on Wilson loops Physics Letters B. 115: 145-147. DOI: 10.1016/0370-2693(82)90815-2  0.334
1982 Friedland S, Simon B. The codimension of degenerate pencils Linear Algebra and Its Applications. 44: 41-53. DOI: 10.1016/0024-3795(82)90003-9  0.335
1982 Bellissard J, Simon B. Cantor spectrum for the almost Mathieu equation Journal of Functional Analysis. 48: 408-419. DOI: 10.1016/0022-1236(82)90094-5  0.345
1982 Simon B. Some jacobi matrices with decaying potential and dense point spectrum Communications in Mathematical Physics. 87: 253-258. DOI: 10.1007/Bf01218563  0.356
1982 Simon B. Large orders and summability of eigenvalue perturbation theory: A mathematical overview International Journal of Quantum Chemistry. 21: 3-25. DOI: 10.1002/Qua.560210103  0.303
1981 Perry P, Sigal IM, Simon B. Spectral Analysis of N-Body Schrodinger Operators The Annals of Mathematics. 114: 519. DOI: 10.2307/1971301  0.327
1981 Simon B. Spectral Analysis of Multiparticle Schrödinger Operators North-Holland Mathematics Studies. 55: 369-370. DOI: 10.1016/S0304-0208(08)71654-2  0.338
1981 Simon B. Spectrum and continuum eigenfunctions of Schrödinger operators Journal of Functional Analysis. 42: 347-355. DOI: 10.1016/0022-1236(81)90094-X  0.348
1981 Carmona R, Simon B. Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems - V. Lower bounds and path integrals Communications in Mathematical Physics. 80: 59-98. DOI: 10.1007/Bf01213596  0.322
1981 Avron J, Simon B. Almost periodic Schrödinger operators Communications in Mathematical Physics. 82: 101-120. DOI: 10.1007/Bf01206947  0.339
1981 Simon B, Sokal AD. Rigorous entropy-energy arguments Journal of Statistical Physics. 25: 679-694. DOI: 10.1007/Bf01022362  0.559
1981 Simon B. Absence of continuous symmetry breaking in a one-dimensional n-2 model Journal of Statistical Physics. 26: 307-311. DOI: 10.1007/Bf01013173  0.321
1980 Lieb EH, Simon B. Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. VI. Asymptotics in the two-cluster region Advances in Applied Mathematics. 1: 324-343. DOI: 10.1016/0196-8858(80)90015-9  0.301
1980 Schechter M, Simon B. Unique continuation for Schrodinger operators with unbounded potentials Journal of Mathematical Analysis and Applications. 77: 482-492. DOI: 10.1016/0022-247X(80)90242-5  0.344
1980 Simon B. Brownian motion, Lp properties of Schrödinger operators and the localization of binding Journal of Functional Analysis. 35: 215-229. DOI: 10.1016/0022-1236(80)90006-3  0.308
1980 Klaus M, Simon B. Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case Annals of Physics. 130: 251-281. DOI: 10.1016/0003-4916(80)90338-3  0.311
1980 Aizenman M, Simon B. Local Ward identities and the decay of correlations in ferromagnets Communications in Mathematical Physics. 77: 137-143. DOI: 10.1007/Bf01982713  0.328
1980 Simon B. Correlation inequalities and the decay of correlations in ferromagnets Communications in Mathematical Physics. 77: 111-126. DOI: 10.1007/Bf01982711  0.302
1980 Simon B. The classical limit of quantum partition functions Communications in Mathematical Physics. 71: 247-276. DOI: 10.1007/Bf01197294  0.334
1979 Simon B. Kato's inequality and the comparison of semigroups Journal of Functional Analysis. 32: 97-101. DOI: 10.1016/0022-1236(79)90079-X  0.344
1979 Simon B. A remark on Dobrushin's uniqueness theorem Communications in Mathematical Physics. 68: 183-185. DOI: 10.1007/Bf01418127  0.368
1978 Herbst IW, Simon B. Stark Effect Revisited Physical Review Letters. 41: 67-69. DOI: 10.1103/Physrevlett.41.67  0.312
1978 Herbst IW, Simon B. Some remarkable examples in eigenvalue perturbation theory Physics Letters B. 78: 304-306. DOI: 10.1016/0370-2693(78)90028-X  0.335
1978 Simon B. A canonical decomposition for quadratic forms with applications to monotone convergence theorems Journal of Functional Analysis. 28: 377-385. DOI: 10.1016/0022-1236(78)90094-0  0.334
1978 Radin C, Simon B. Invariant domains for the time-dependent Schrödinger equation Journal of Differential Equations. 29: 289-296. DOI: 10.1016/0022-0396(78)90127-4  0.614
1978 Deift P, Hunziker W, Simon B, Vock E. Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems IV Communications in Mathematical Physics. 64: 1-34. DOI: 10.1007/Bf01940758  0.306
1978 Davies EB, Simon B. Scattering theory for systems with different spatial asymptotics on the left and right Communications in Mathematical Physics. 63: 277-301. DOI: 10.1007/Bf01196937  0.324
1977 Simon B. Notes on infinite determinants of Hilbert space operators Advances in Mathematics. 24: 244-273. DOI: 10.1016/S0001-8708(77)80044-3  0.363
1977 Simon B. On the absorption of eigenvalues by continuous spectrum in regular perturbation problems Journal of Functional Analysis. 25: 338-344. DOI: 10.1016/0022-1236(77)90042-8  0.339
1977 Blankenbecler R, Goldberger ML, Simon B. The bound states of weakly coupled long-range one-dimensional quantum hamiltonians Annals of Physics. 108: 69-78. DOI: 10.1016/0003-4916(77)90351-7  0.314
1977 Lieb EH, Simon B. The Thomas-Fermi theory of atoms, molecules and solids Advances in Mathematics. 23: 22-116. DOI: 10.1016/0001-8708(77)90108-6  0.307
1977 Simon B. Geometric methods in multiparticle quantum systems Communications in Mathematical Physics. 55: 259-274. DOI: 10.1007/Bf01614550  0.327
1977 Simon B. Scattering theory and quadratic forms: On a theorem of Schechter Communications in Mathematical Physics. 53: 151-153. DOI: 10.1007/Bf01609129  0.319
1976 Simon B. Analysis with weak trace ideals and the number of bound states of Schrödinger operators Transactions of the American Mathematical Society. 224: 367-380. DOI: 10.1090/S0002-9947-1976-0423128-X  0.355
1976 Deift P, Simon B. On the decoupling of finite singularities from the question of asymptotic completeness in two body quantum systems Journal of Functional Analysis. 23: 218-238. DOI: 10.1016/0022-1236(76)90049-5  0.326
1976 Seiler E, Simon B. Nelson's symmetry and all that in the Yukawa2 and (φ4)3 field theories☆ Annals of Physics. 97: 470-518. DOI: 10.1016/0003-4916(76)90044-0  0.351
1976 Simon B. The bound state of weakly coupled Schrödinger operators in one and two dimensions Annals of Physics. 97: 279-288. DOI: 10.1016/0003-4916(76)90038-5  0.355
1976 Fröhlich J, Simon B, Spencer T. Infrared Bounds, Phase Transitions and Continuous Symmetry Breaking Communications in Mathematical Physics. 50: 79-95. DOI: 10.1007/Bf01608557  0.335
1975 Simon B. Pointwise bounds on eigenfunctions and wave packets in $N$-body quantum systems. III Transactions of the American Mathematical Society. 208: 317-329. DOI: 10.1090/S0002-9947-1975-0417597-8  0.307
1975 Seiler E, Simon B. Bounds in the Yukawa2 Quantum Field Theory: Upper Bound on the Pressure, Hamiltonian Bound and Linear Lower Bound* Communications in Mathematical Physics. 45: 99-114. DOI: 10.1007/Bf01629241  0.342
1975 Simon B. Existence of the scattering matrix for the linearized Boltzmann equation Communications in Mathematical Physics. 41: 99-108. DOI: 10.1007/Bf01608751  0.315
1975 Guerra F, Rosen L, Simon B. Correlation inequalities and the mass gap in $P(\phi)_{2}$. III. Mass gap for a class of strongly coupled theories with nonzero external field Communications in Mathematical Physics. 41: 19-32. DOI: 10.1007/Bf01608544  0.334
1973 Simon B. Resonances in n-Body Quantum Systems With Dilatation Analytic Potentials and the Foundations of Time-Dependent Perturbation Theory Annals of Mathematics. 97: 247. DOI: 10.2307/1970847  0.342
1973 Guerra F, Rosen L, Simon B. Statistical mechanics results in the P(φ)2 quantum field theory Physics Letters B. 44: 102-104. DOI: 10.1016/0370-2693(73)90312-2  0.32
1973 Simon B. Ergodic semigroups of positivity preserving self-adjoint operators Journal of Functional Analysis. 12: 335-339. DOI: 10.1016/0022-1236(73)90084-0  0.307
1973 Simon B. Quadratic forms and Klauder's phenomenon: A remark on very singular perturbations Journal of Functional Analysis. 14: 295-298. DOI: 10.1016/0022-1236(73)90074-8  0.34
1973 Reed M, Simon B. Tensor products of closed operators on Banach spaces Journal of Functional Analysis. 13: 107-124. DOI: 10.1016/0022-1236(73)90038-4  0.33
1973 Simon B. Correlation inequalities and the mass gap in P(φ)2 - I. Domination by the two point function Communications in Mathematical Physics. 31: 127-136. DOI: 10.1007/Bf01645740  0.346
1973 Simon B, Griffiths RB. The (φ4)2 Field Theory as a Classical Ising Model Communications in Mathematical Physics. 33: 145-164. DOI: 10.1007/Bf01645626  0.305
1973 Guerra F, Rosen L, Simon B. The vacuum energy forP(ø)2: Infinite volume limit and coupling constant dependence Communications in Mathematical Physics. 29: 233-247. DOI: 10.1007/Bf01645249  0.334
1972 Simon B. Summability methods, the strong asymptotic condition, and unitarity in quantum field theory Physical Review Letters. 28: 1145-1146. DOI: 10.1103/Physrevlett.28.1145  0.333
1972 Simon B, Høegh-Krohn R. Hypercontractive semigroups and two dimensional self-coupled Bose fields Journal of Functional Analysis. 9: 121-180. DOI: 10.1016/0022-1236(72)90008-0  0.313
1972 Simon B. Quadratic form techniques and the Balslev-Combes theorem Communications in Mathematical Physics. 27: 1-9. DOI: 10.1007/Bf01649654  0.373
1971 Simon B. Distributions and Their Hermite Expansions Journal of Mathematical Physics. 12: 140-148. DOI: 10.1063/1.1665472  0.329
1971 Simon B. Determination of eigenvalues by divergent perturbation series Advances in Mathematics. 7: 240-253. DOI: 10.1016/S0001-8708(71)80005-1  0.37
1971 Simon B. Convergence of time dependent perturbation theory for autoionizing states of atoms Physics Letters A. 36: 23-24. DOI: 10.1016/0375-9601(71)90045-4  0.309
1971 Simon B. Hamiltonians defined as quadratic forms Communications in Mathematical Physics. 21: 192-210. DOI: 10.1007/Bf01647118  0.378
1970 Simon B. Borel summability of the ground-state energy in spatially cutoff Physical Review Letters. 25: 1583-1586. DOI: 10.1103/Physrevlett.25.1583  0.304
1970 Simon B. Some comments on the Jin-Martin lower bound Physical Review D. 1: 1240-1241. DOI: 10.1103/Physrevd.1.1240  0.307
1970 Graffi S, Grecchi V, Simon B. Borel summability: Application to the anharmonic oscillator Physics Letters B. 32: 631-634. DOI: 10.1016/0370-2693(70)90564-2  0.313
1970 Simon B, Dicke A. Coupling constant analyticity for the anharmonic oscillator Annals of Physics. 58: 76-136. DOI: 10.1016/0003-4916(70)90240-X  0.31
1969 Simon B. On the Growth of the Number of Bound States with Increase in Potential Strength Journal of Mathematical Physics. 10: 1123-1126. DOI: 10.1063/1.1664948  0.329
1969 Loeffel JJ, Martin A, Simon B, Wightman AS. Pade approximants and the anharmonic oscillator Physics Letters B. 30: 656-658. DOI: 10.1016/0370-2693(69)90087-2  0.695
1969 Simon B. Skhodimost{cyrillic small soft sign} ryegulyari eovannykh, pyeryenorm irovannykh pyerturba tsionnykh ryadov dlya svyerkh-pyer yenormiru yemykh tyeorii{cyrillic, short} polya Il Nuovo Cimento a Series 10. 59: 199-214. DOI: 10.1007/Bf02756356  0.351
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